Atkin-Lehner |
2- 3- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
108360bk |
Isogeny class |
Conductor |
108360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
25594198560000 = 28 · 312 · 54 · 7 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12423,474122] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:900:1] |
Generators of the group modulo torsion |
j |
1136150003536/137143125 |
j-invariant |
L |
7.6771655015683 |
L(r)(E,1)/r! |
Ω |
0.6473881029942 |
Real period |
R |
1.4823344453188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032701 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36120j2 |
Quadratic twists by: -3 |